Confidence Interval/Examples/95 percent
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Examples of Confidence Intervals
A $95 \%$ confidence interval is a confidence interval whose $\alpha$ parameter is:
- $\alpha = 0 \cdotp 05$
Let $\bar x$ be the mean of a sample of $n$ observations from a normal distribution with unknown mean $\mu$ and known standard deviation $\sigma$.
Then a $95 \%$ confidence interval for $\mu$ is:
- $\closedint {\bar x - \dfrac {1 \cdotp 96 \sigma} {\sqrt n} } {\bar x + \dfrac {1 \cdotp 96 \sigma} {\sqrt n} }$
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): confidence interval
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): confidence interval